• Accepted Paper

Deconfinement-Higgs continuity in the SU(2) adjoint Higgs model at finite temperature

Yui Hayashi, Masashi Kawahira, and Hiromasa Watanabe

APS Open Sci. - Accepted 27 October, 2026

DOI: https://doi.org/10.1103/11s4-98hc

Abstract

We study the finite-temperature phase structure of the four-dimensional ${\rm SU}(2)$ adjoint Higgs model, focusing on a possible : the conjecture that the high-temperature deconfined phase of Yang-Mills theory and the finite-temperature Higgs phase form a single thermodynamic phase. We first perform a global-symmetry analysis, showing that the Higgs and deconfined regimes are expected to share the same symmetry pattern, which is distinct from that of the confined phase. This suggests deconfinement-Higgs continuity, but does not exclude the possibility that the deconfined phase and the Higgs phase are separated by a phase transition not associated with the global symmetries. We then perform a deformation analysis, which yields an explicit continuous path between the deconfined symmetric'' anddeconfined Higgs’’ regions in a reduced three-dimensional lattice model. These results indicate that the Higgs and deconfined regimes can be continuously connected, while the confined phase remains distinct.

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